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Question

The domain of the function f(x) given by f(x)=1x+|x| is

A
R
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B
R+
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C
R
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D
R{1}
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Solution

The correct option is B R+
Given f(x)=1x+|x|If x > 0, (x| =x x+(x|=2xwhich is greater than 0.If x0, (x| =xx+(x|=0f(x) will not be defined if x+(x|=0Therefore, the domain of f(x)=R+

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